Pith Number

pith:DE6C3REM

pith:2026:DE6C3REMZHUO2HZSIRSZL7P23R

not attested not anchored not stored refs pending

A Brenier-Strassen Theorem on CAT(kappa) Spaces

Hugo Malamut (MAP5 - UMR 8145), Nathael Gozlan (MAP5 - UMR 8145), Shin-Ichi Ohta (UOsaka)

arxiv:2607.26671 v1 · 2026-07-29 · math.FA · math.MG · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DE6C3REMZHUO2HZSIRSZL7P23R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-30T01:21:54.091526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

193c2dc48cc9e8ed1f32446595fdfadc4df7f891a15efdff0135097eb7a22e9d

Aliases

arxiv: 2607.26671 · arxiv_version: 2607.26671v1 · doi: 10.48550/arxiv.2607.26671 · pith_short_12: DE6C3REMZHUO · pith_short_16: DE6C3REMZHUO2HZS · pith_short_8: DE6C3REM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DE6C3REMZHUO2HZSIRSZL7P23R \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 193c2dc48cc9e8ed1f32446595fdfadc4df7f891a15efdff0135097eb7a22e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4232433a64b404e622c29eb11a0f96db11dd623610285a9284dbbb685d3b9b39",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-29T09:26:03Z",
    "title_canon_sha256": "a7b1b2028e255e869dc7af273a904ac53c6ebfdfe4bef0676a07eced817ba832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26671",
    "kind": "arxiv",
    "version": 1
  }
}